Title :
The influence of measurement noise on the parameter estimation of max-plus-linear systems
Author :
Schullerus, Gernot ; Fox, Joachim ; Krebs, Volker
Author_Institution :
Institut für Regelungs- und Steuerungssysteme Universität Karlsruhe, Kaiserstraße 12, D-76131 Karlsruhe, Germany
Abstract :
The present paper investigates the influence of noise on the estimation results for max-plus-linear systems. These systems are a suitable description for many processes modelled by discrete event systems. It is shown that measurements corrupted by Gaussian noise lead to a bias in the estimated values. In addition a correction factor is determined that attempts to compensate this bias.
Keywords :
Adaptation models; Algebra; Estimation; Mathematical model; Noise; Noise measurement; Time measurement; Petri nets; discrete event systems; identification methods; max-plus-linear systems; modelling;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9